Question

A man of mass 80 kg runs up a staircase in 15s. Another man of same mass runs up the staircase in 20s. The ratio of the power developed by them is ?????

Answer 1

Answer:

Explanation:

Is given in figure

Answer 2

Explanation:

Given that,

Mass of both persons, m₁ = m₂ = 80 kg

Time taken by person 1, t₁ = 15 s

Time taken by person 1, t₂ = 20 s

The power developed by the person is given by :

$P=\dfrac{W}{t}$

W = work done by the person

As work done by both objects re same. So,

$\dfrac{P_1}{P_2}=\dfrac{t_2}{t_1}$

$\dfrac{P_1}{P_2}=\dfrac{20}{15}$

$\dfrac{P_1}{P_2}=\dfrac{4}{3}$

So, the power developed by both persons are in the ratio of 4 : 3. Hence, this is the required solution.